Respuesta :
Aaron has a bigger yard. Area of aaron yard is 28125 square feet and the area of jake yard is 27,072.5 square feet. Area of aaron yard is greater than the jake yard.
Step-by-step explanation:
The given is,
Aaron has a yard in the shape of square it is 125 ft × 225 ft
Jake has a yard with right triangle with a height of 221 ft and a base of 245 ft
Step:1
Formula for area,
[tex]A_{Aaron} =lb[/tex].....................................,....(1)
From given,
l = 125 ft
b = 225 ft
Equation (1) becomes,
[tex]= (125)(225)[/tex]
= 28125
[tex]A_{Aaron}[/tex] = 28125 Square feet...........(2)
Step:2
Formula for area,
[tex]A_{Joke} = \frac{bh}{2}[/tex].................................................(3)
From given,
b - 245 ft
h - 221 ft
Equation (2),
= [tex]\frac{(221)(245)}{2}[/tex]
= [tex]\frac{54145}{2}[/tex]
= 27025.5
[tex]A_{Joke}[/tex] = 27025.5...........................(4)
From equation (1) and (2),
[tex]A_{Aaron}>A_{Joke}[/tex]
[tex]28125 >27072.5[/tex]
Result:
Aaron has a bigger yard. Area of aaron yard is 28125 square feet and the area of jake yard is 27,072.5 square feet. Area of aaron yard is greater than the jake yard.
